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Finding the Fourth Proportional to 221.52, 332.28 and 59.21

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Solution

The fourth proportional to 221.52, 332.28 and 59.21 is: 88.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.52 : 332.28 = 59.21 : x
  2. Step 2: Convert to fraction form
    221.52/332.28 = 59.21/x
  3. Step 3: Cross multiply
    221.52x = 332.28 × 59.21
  4. Step 4: Simplify right side
    221.52x = 19,672.64
  5. Step 5: Solve for x
    x = 19,672.64/221.52
  6. Step 6: Final answer
    x = 88.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.